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To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.
Opinion | Number of students |
Like | 135 |
dislike | 65 |
Find the probability that a student chosen at random
(i) likes statistics
Given:
A survey of 200 students was conducted.
To do:
We have to find the probability that a student chosen at random
(i) likes Mathematics.
(ii) does not like it.
Solution:
(i) Total number of students $=200$
Number of students who like statistics $=135$
We know that,
Probability of an event=$ \frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes}$
Therefore,
Probability that the student likes statistics $=\frac{135}{200}$
$=0.675$
This implies,
The probability that the student likes statistics is $0.675$.
(ii) Total number of students $=200$Number of students who do not like statistics $=65$
We know that,
Probability of an event=$ \frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes}$
Therefore,
Probability that the student does not like statistics $=\frac{65}{200}$
$=0.325$
This implies,
The probability that the student does not like statistics is $0.325$.